Question

please help quickly!! The pictures include the question!

Answer 1

Answer:

D. 256 feet

Step-by-step explanation:

We are solving for the diameter, but first let's get the radius, which is either AC or AD.

Let's think about this in terms of the triangles: what do we know? Both triangles are right triangles, which means we can apply the Pythagorean Theorem:

$a^{2} + b^{2} = c^{2}$ , where a and b are legs and c is the hypotenuse.

Let's focus on the left triangle, ACE.

• We can figure out that CE = 100 ft because CD = 200, and CE is half of CD.
• We were given that AE = 80 ft.
• Now all that's left is AC, which we can solve for.

$a^{2} + b^{2} = c^{2}$

$100^{2} + 80^{2} = c^{2}$

16400 = $c^{2}$

$\sqrt{16400} = \sqrt{c^{2} }$

c = 128.06 = AC

AC is the radius, which is half the diameter, so the diameter is 128.06*2 = 256.12 = about 256 feet.

Answer 2

The answer to your question is 250